Details

sample1.9s

Algorithm

intervals

Results

484.0ms	122×	body	10240	exit
482.0ms	47×	body	320	valid
348.0ms	106×	body	1280	valid
191.0ms	79×	body	640	valid
162.0ms	53×	body	1280	nan
72.0ms	41×	body	640	nan
20.0ms	17×	body	320	nan
17.0ms	15×	body	160	valid
8.0ms	11×	body	80	valid
6.0ms	8×	body	160	nan
2.0ms	5×	body	80	nan

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
3	2093
2	410
1	139
0	55

prune66.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize161.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
1.0b	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log`
14×	`add-cbrt-cube`
10×	`pow1`
8×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `div-exp` `add-cube-cbrt`
6×	`prod-exp`
4×	`cbrt-undiv` `sqrt-pow1` `exp-sum` `associate-+l-` `insert-posit16` `add-log-exp`
2×	`pow-to-exp` `clear-num` `associate-+r-` `frac-2neg` `pow1/2` `exp-diff` `pow-prod-down` `associate-l/` `pow-exp` `associate-/r/` `sqrt-prod` `cbrt-unprod` `div-inv` `associate-/l` `pow-sub` `associate-/l/`

Counts

4 → 80

Calls

4 calls:

499.0ms	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
514.0ms	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
5.0ms	(sqrt (* PI 2))
5.0ms	(sqrt (* PI 2))

series1.2s

Counts

4 → 8

Calls

4 calls:

641.0ms	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
565.0ms	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify4.9s

Counts

88 → 88

Iterations

Iter	Nodes
3	9840
2	1757
1	478
0	182

prune3.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize137.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ -176.6150291621406 (+ 3 z)) 0.9999999999998099)
1.0b	(/ (pow (+ 0.5 (- z -6)) (+ -1 (+ z 0.5))) (exp (+ 0.5 (- z -6))))
1.0b	(+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))
1.0b	(sqrt (* PI 2))

rewrite329.0ms

Algorithm

rewrite-expression-head

Rules

117×	`*-un-lft-identity`
64×	`times-frac`
38×	`distribute-lft-out`
25×	`add-sqr-sqrt` `unpow-prod-down` `add-cube-cbrt`
11×	`exp-sum` `add-log-exp`
10×	`associate-/l*`
9×	`distribute-lft-out--`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`unpow-prod-up` `sqr-pow`
4×	`associate-/r*` `sum-log` `frac-add` `insert-posit16`
3×	`flip3-+` `div-exp` `flip-+`
2×	`+-commutative` `sqrt-pow1`
1×	`pow-to-exp` `cbrt-undiv` `associate-+r+` `clear-num` `associate-+r-` `frac-2neg` `pow1/2` `exp-diff` `pow-prod-down` `pow-exp` `associate-/r/` `sqrt-prod` `div-inv`

Counts

4 → 122

Calls

4 calls:

42.0ms	(+ (/ -176.6150291621406 (+ 3 z)) 0.9999999999998099)
124.0ms	(/ (pow (+ 0.5 (- z -6)) (+ -1 (+ z 0.5))) (exp (+ 0.5 (- z -6))))
156.0ms	(+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))
3.0ms	(sqrt (* PI 2))

series408.0ms

Counts

4 → 10

Calls

4 calls:

41.0ms	(+ (/ -176.6150291621406 (+ 3 z)) 0.9999999999998099)
263.0ms	(/ (pow (+ 0.5 (- z -6)) (+ -1 (+ z 0.5))) (exp (+ 0.5 (- z -6))))
103.0ms	(+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))
0.0ms	(sqrt (* PI 2))

simplify1.3s

Counts

132 → 132

Iterations

Iter	Nodes
2	2757
1	820
0	333

prune5.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize164.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ -176.6150291621406 (+ 3 z)) 0.9999999999998099)
1.0b	(/ (pow (+ 0.5 (- z -6)) (+ -1 (+ z 0.5))) (exp (+ 0.5 z)))
1.0b	(+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))
1.0b	(sqrt (* PI 2))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

117×	`*-un-lft-identity`
64×	`times-frac`
38×	`distribute-lft-out`
25×	`add-sqr-sqrt` `unpow-prod-down` `add-cube-cbrt`
11×	`exp-sum` `add-log-exp`
10×	`associate-/l*`
9×	`distribute-lft-out--`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`unpow-prod-up` `sqr-pow`
4×	`associate-/r*` `sum-log` `frac-add` `insert-posit16`
3×	`flip3-+` `div-exp` `flip-+`
2×	`+-commutative` `sqrt-pow1`
1×	`pow-to-exp` `cbrt-undiv` `associate-+r+` `clear-num` `frac-2neg` `pow1/2` `pow-prod-down` `pow-exp` `sqrt-prod` `div-inv`

Counts

4 → 121

Calls

4 calls:

44.0ms	(+ (/ -176.6150291621406 (+ 3 z)) 0.9999999999998099)
125.0ms	(/ (pow (+ 0.5 (- z -6)) (+ -1 (+ z 0.5))) (exp (+ 0.5 z)))
120.0ms	(+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))
3.0ms	(sqrt (* PI 2))

series403.0ms

Counts

4 → 10

Calls

4 calls:

24.0ms	(+ (/ -176.6150291621406 (+ 3 z)) 0.9999999999998099)
259.0ms	(/ (pow (+ 0.5 (- z -6)) (+ -1 (+ z 0.5))) (exp (+ 0.5 z)))
120.0ms	(+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))
0.0ms	(sqrt (* PI 2))

simplify1.1s

Counts

131 → 131

Iterations

Iter	Nodes
2	2582
1	760
0	310

prune4.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize160.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ -176.6150291621406 (+ 3 z)) 0.9999999999998099)
1.0b	(/ (pow (sqrt (+ 0.5 (- z -6))) (+ -1 (+ z 0.5))) (/ (exp (+ 0.5 z)) (pow (sqrt (+ 0.5 (- z -6))) (+ -1 (+ z 0.5)))))
1.0b	(+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))
1.0b	(sqrt (* PI 2))

rewrite430.0ms

Algorithm

rewrite-expression-head

Rules

1480×	`times-frac`
1171×	`*-un-lft-identity`
904×	`unpow-prod-down`
566×	`sqrt-prod`
539×	`add-sqr-sqrt` `add-cube-cbrt`
254×	`distribute-lft-out`
182×	`exp-sum`
117×	`distribute-lft-out--`
113×	`unpow-prod-up` `sqr-pow`
56×	`associate-/r*`
21×	`div-exp` `add-exp-log`
15×	`div-inv`
13×	`associate-/l*`
11×	`add-log-exp`
9×	`add-cbrt-cube`
7×	`pow-to-exp` `pow1` `pow-exp`
4×	`sum-log` `frac-add` `insert-posit16`
3×	`cbrt-undiv` `flip3-+` `flip-+`
2×	`+-commutative` `sqrt-pow1`
1×	`associate-+r+` `clear-num` `frac-2neg` `pow1/2` `pow-prod-down` `associate-/r/`

Counts

4 → 875

Calls

4 calls:

30.0ms	(+ (/ -176.6150291621406 (+ 3 z)) 0.9999999999998099)
197.0ms	(/ (pow (sqrt (+ 0.5 (- z -6))) (+ -1 (+ z 0.5))) (/ (exp (+ 0.5 z)) (pow (sqrt (+ 0.5 (- z -6))) (+ -1 (+ z 0.5)))))
142.0ms	(+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))
5.0ms	(sqrt (* PI 2))

series721.0ms

Counts

4 → 10

Calls

4 calls:

40.0ms	(+ (/ -176.6150291621406 (+ 3 z)) 0.9999999999998099)
578.0ms	(/ (pow (sqrt (+ 0.5 (- z -6))) (+ -1 (+ z 0.5))) (/ (exp (+ 0.5 z)) (pow (sqrt (+ 0.5 (- z -6))) (+ -1 (+ z 0.5)))))
103.0ms	(+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))))
0.0ms	(sqrt (* PI 2))

simplify4.3s

Counts

885 → 885

Iterations

Iter	Nodes
1	3020
0	1109

prune42.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

regimes114.0ms

Accuracy

0% (0.4b remaining)

Error of 0.9b against oracle of 0.5b and baseline of 0.9b

bsearch0.0ms

simplify16.0ms

Iterations

Iter	Nodes
2	81
1	81
0	61

end0.0ms

sample51.1s

Algorithm

intervals

Results

17.9s	3849×	body	10240	exit
11.2s	3317×	body	1280	valid
7.2s	2511×	body	640	valid
6.0s	1479×	body	1280	nan
3.3s	1251×	body	640	nan
2.8s	1311×	body	320	valid
977.0ms	557×	body	320	nan
682.0ms	618×	body	160	valid
332.0ms	317×	body	160	nan
165.0ms	276×	body	80	nan
151.0ms	311×	body	80	valid